### 抄録

In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.

元の言語 | English |
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ホスト出版物のタイトル | Proceedings of the IEEE Conference on Decision and Control |

ページ | 3253-3258 |

ページ数 | 6 |

巻 | 3 |

出版物ステータス | Published - 2004 |

外部発表 | Yes |

イベント | 2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas 継続期間: 2004 12 14 → 2004 12 17 |

### Other

Other | 2004 43rd IEEE Conference on Decision and Control (CDC) |
---|---|

国 | Bahamas |

市 | Nassau |

期間 | 04/12/14 → 04/12/17 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Safety, Risk, Reliability and Quality
- Chemical Health and Safety

### これを引用

*Proceedings of the IEEE Conference on Decision and Control*(巻 3, pp. 3253-3258). [ThB02.4]

**Stability analysis and design of switched normal systems.** / Zhai, Guisheng; Lin, Hai; Xu, Xuping; Michel, Anthony N.

研究成果: Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*巻. 3, ThB02.4, pp. 3253-3258, 2004 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas, 04/12/14.

}

TY - GEN

T1 - Stability analysis and design of switched normal systems

AU - Zhai, Guisheng

AU - Lin, Hai

AU - Xu, Xuping

AU - Michel, Anthony N.

PY - 2004

Y1 - 2004

N2 - In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.

AB - In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.

UR - http://www.scopus.com/inward/record.url?scp=14244267932&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14244267932&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:14244267932

VL - 3

SP - 3253

EP - 3258

BT - Proceedings of the IEEE Conference on Decision and Control

ER -